Darren has traveled
2/3
of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel?

Answer:

The figure is attached and the total distance is 1031 feet.

Step-by-step explanation:

The graph is indicated in the attached figure.

For calculation of distance consider following

Point Flagpole is (0,0)

Point Clue1 is (0,5)

Point Clue2 is (6,0)

Point Clue3 is (0,-5)

So the distance is calculated as follows

[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values

[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]

So the total distance travelled is 1031 feet.

Answer:

the value of the test statistic is 2.43

Step-by-step explanation:

The computation of the value of the test statistic is shown below:

[tex]z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }[/tex]

[tex]= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}[/tex]

= 2.43

Hence, the value of the test statistic is 2.43

The same would be considered and relevant by applying the above formula  

Answer:

7

Step-by-step explanation:

37 People / 6 is 6.18 Rounded up is 7

Answer:

5

Step-by-step explanation:

Becuase his backyard is 15 square yards.

Answer:

I think it could be true, but maybe its false

Step-by-step explanation:

Answer:

Yes, Chris will score.

Step-by-step explanation:

To get the ball in the goal, the ball must be below 8ft (the height of the goal) when the ball passes the 25ft mark; ie, Chris will score if f(x)<8 when x=25:

f(x)=-0.05(x-16)²+11

f(25)=-0.05(25-16)²+11

=-0.05(9²)+11

=-0.05(81)+11

=11-4.05

=6.95

Since 6.95<8, we can see that Chris will score if Deshawn doesn't block the ball.

Answer:

15 mph

Step-by-step explanation:

Before traffic cleared:

distance = 30 miles

average speed = s

time = t

d = st

30 = st

After traffic cleared:

distance = 176 miles

average speed = s + 29

time = 6 - t

d = st

176 = (s + 29)(6 - t)

30 = st

s = 30/t

176 = (30/t + 29)(6 - t)

176t = (30 + 29t)(6 - t)

176t = 180 - 30t + 174t - 29t^2

29t^2 + 32t - 180 = 0

(29t + 90)(t - 2) = 0

t = -90/29 or t = 2

Time must be a positive number, so we discard the solution t = -90/29.

t = 2

30 = st

30 = s * 2

s = 15

Answer: 15 mph

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

Answer:

The following statements are true.

A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal.

The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively.

The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers (again)..

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

Stepby-step explanation:

The certain number = n

232 = 5n-28

232+ 28 = 5n -28 + 28

260 = 5n

260/5 = 5n/5

52 = n

Answer:

−3i√2

Yeah pretty sure that is right

Answer:

Angle 3 is greater than angle 4

TrUsT mE

Answer:

2nd option..... Angles 3 and 4 are complementary Angles.

Answer:

the denominator

Step-by-step explanation:

the top is numerator ans bottom is denominator

The number 6 is the denominator of the given fraction.

"A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator.

The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole."

"A denominator is the part of a fraction that comes below the fractional bar. The denominator shows the total amount of parts that make up a whole. A fraction can be identified by a horizontal bar between two numbers. This bar or symbol is known as the fractional bar. The number on the top is known as the numerator, and the number below the fractional bar is known as the denominator."

For any fraction [tex]\frac{a}{b}[/tex], 'a' is the numerator and 'b' is the denominator.

The given fraction is [tex]\frac{2}{6}[/tex].

Here, the number 6 is the denominator of the given fraction.

Learn more about a denominator here: https://brainly.com/question/7067665

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Answer:

Step-by-step explanation:

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]

Answer:

13,800 pounds

Step-by-step explanation:

one ton = 2000 pounds

7 tons = 14,000 pounds

14,000 - 200 = 13,800 pounds

Answer:

centre = (- 5, - 2 ) , radius r = 18

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

(x + 5)² + (y + 2)² = 324 ← is in standard form , that is

(x - (- 5))² + (y - (- 2))² = 18²

with centre = (- 5, - 2 ) and r = 18

Answer:

Center = (-5, -2)

Radius = 18

Step-by-step explanation:

The equation of a circle in standard form is:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

If we compare the given equation of (x + 5)² + (y + 2)² = 324 to the standard form, we get:

Therefore, the center of the circle is (-5, -2).

To find the radius, square root 324:

[tex]r^2=324 \implies r=\sqrt{324}=18[/tex]

Therefore, the radius of the circle is 18.

Answer:

110%

Step-by-step explanation:

During final exam, 172 students visited the math lab in total.

4 out of 11 were male. It means, females are 11-4 = 7. So, the percentage of female students who visited the math lab is :

[tex]F=\dfrac{7}{11}\times 172\\\\F=109.4\%\\\\=110\%[/tex]

Hence, this is the required solution.

Answer: 2m + 2m

Step-by-step explanation: m + m is 2m and the same for the other two m's which is why m + m + m + m is 2m + 2m

Answer and Step-by-step explanation:

The obvious answer to this question is 2m + 2m, or 3m + m.

These expressions show two terms that can be added together.

#teamtrees #PAW (Plant And Water)

I see a Dreamer over there by the water.

twitch.tv/Tommyinnit

Answer:

amen

Step-by-step explanation:

amen you have the blood of jesus

Answer:

(2;-2)

Step-by-step explanation:

for more details see the attached picture.

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

Answer:

pick faster

Step-by-step explanation:

Answer:

1 in 3 chance

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12

This means there are 4 multiples.

4/12 or 4 ÷ 12 = 1/3

So there is a 1 in 3 chance (33.333%) to get a multiple of 3

Answer:

Yes

Step-by-step explanation:

12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.  

All answers have 6 so yes it is proportional.

Answer:

A. (0,0) and (-4, 0)

Step-by-step explanation:

f (2) = 12 (2 + 4)

f (x) = 12 (x + 4)

x + 4 = 0

x =  -4

12 = (0,0)

The 12 is on the outside and is multiplied to x + 4 so the 12 is considered a zero.

(0, 0) and (-4,0)

Answer:

D. 3 points purchased

Step-by-step explanation:

Took the bullet

Option D is correct, based on the information Gordon purchased 3 point

A fraction represents a part of a whole.

Given that Gordon decided on purchasing a $141,000 home.

At closing he brought a check for $7570.

One point is equal to 3% of the total loan amount, so the cost of one point would be:

Cost of one point = 3% of $130,090

Cost of one point = $3,902.70

To find out how many points Gordon purchased

we need to divide the total cost of points by the cost of one point:

Number of points = Total cost of points / Cost of one point

Number of points = $10,910 / $3,902.70

Number of points = 2.8

=3

Therefore, based on the information Gordon purchased 3 points, Option D is correct.

To learn more on Fractions click:

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